Renormalization on noncommutative torus

Autor(es)

D'Ascanio, D. ^[1] ; Pisani, P. ^[1] ; Vassilevich, D. V. ^{[2, 3]}

Afiliação do(s) autor(es)

^[1] Univ Nacl La Plata, CONICET, Inst Fis La Plata, CC 67, RA-1900 La Plata, Buenos Aires - Argentina

^[2] Tomsk State Univ, Dept Phys, Tomsk 634050 - Russia

^[3] Univ Fed ABC, CMCC, BR-09210180 Santo Andre, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: EUROPEAN PHYSICAL JOURNAL C; v. 76, n. 4 APR 1 2016.
• Citações Web of Science: 6

Resumo

We study a self-interacting scalar phi(4) theory on the d-dimensional noncommutative torus. We determine, for the particular cases d = 2 and d = 4, the counterterms required by one-loop renormalization. We discuss higher loops in two dimensions and two-loop contributions to the self-energy in four dimensions. Our analysis points toward the absence of any problems related to the ultraviolet/infrared mixing and thus to renormalizability of the theory. However, we find another potentially troubling phenomenon which is a wild behavior of the two-point amplitude as a function of the noncommutativity matrix theta. (AU)

• Processo FAPESP: 12/00333-7 - Problemas da mecânica quântica e teoria quântica de campos com fundos fortes e em espaços não-comutativos
• Beneficiário: Dmitri Maximovitch Guitman
• Modalidade de apoio: Auxílio à Pesquisa - Temático